REVIEW 2 cited by
The global dynamics for the Maxwell-Dirac system
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
In this paper, we study the (1+3) dimensional massive Maxwell-Dirac system in the context of global existence and asymptotic behavior of solutions under the Lorenz gauge condition, as well as the modified and linear scattering phenomena for the Dirac spinor and the electromagnetic potential, respectively. We employ a vector fields energy method combined with a detailed analysis of the space-time resonance argument. This approach allows us to establish decay estimates and energy bounds crucial for proving the main theorems. Especially, we provide the explicit phase correction arising from the strong nonlinear resonances.
Forward citations
Cited by 2 Pith papers
-
A spinor-adapted geometric approach for nonlinear Dirac systems and its application to a tensorial wave-Dirac system near Minkowski spacetime
Small-data solutions of a nonlinear tensorial wave-Dirac system on non-trapping asymptotically flat spacetimes are shown to exist globally with quantitative weighted-energy decay.
-
Global solutions to cubic Dirac and Dirac-Klein-Gordon systems on spacetimes close to the Minkowski space
Global existence and sharp pointwise decay are proven for cubic Dirac and Dirac-Klein-Gordon systems on space-times close to Minkowski space.
Discussion (0). Sign in to comment.